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Titlebook: Matrix and Operator Equations and Applications; Mohammad Sal Moslehian Book 2023 The Editor(s) (if applicable) and The Author(s), under ex

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書目名稱Matrix and Operator Equations and Applications
編輯Mohammad Sal Moslehian
視頻videohttp://file.papertrans.cn/628/627775/627775.mp4
概述Suitable for both researchers and graduate students with a basic knowledge of operator theory.Includes the latest developments in matrix and operator equations.Contains contributions by a number of sp
叢書名稱Mathematics Online First Collections
圖書封面Titlebook: Matrix and Operator Equations and Applications;  Mohammad Sal Moslehian Book 2023 The Editor(s) (if applicable) and The Author(s), under ex
描述.This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several important matrix and operator equalities and equations in a systematic and self-contained fashion. Some powerful methods have been used to investigate some significant equations in functional analysis, operator theory, matrix analysis, and numerous subjects in the last decades...The book is divided into two parts: (I) Matrix Equations and (II) Operator Equations...In the first part, the state-of-the-art of systems of matrix equations is given and generalized inverses are used to find their solutions. The semi-tensor product of matrices is used to solve quaternion matrix equations. The contents of some chapters are related to the relationship between matrix inequalities, matrix means, numerical range, and matrix equations. In addition, quaternion algebras and their applications are employed in solving some famous matrix equations like Sylvester, Stein, and Lyapunov equations. A chapter devoted to studying Hermitian polynomial matrix equations, which fre
出版日期Book 2023
關(guān)鍵詞Operator equation; Matrix equation; Split quaternion; Differential equation; Numerical range; Matrix quad
版次1
doihttps://doi.org/10.1007/978-3-031-25386-7
isbn_softcover978-3-031-25388-1
isbn_ebook978-3-031-25386-7Series ISSN 2730-633X Series E-ISSN 2730-6348
issn_series 2730-633X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Matrices over Quaternion AlgebrasThis survey provides an overview of several powerful real and complex representations of matrices over quaternion algebras including split quaternions and biquaternions as well as their applications in solving some famous matrix equations like Sylvester/Stein/Lyapunov equations and computing singular value (resp. eigenvalue) decompositions.
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978-3-031-25388-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Matrix and Operator Equations and Applications978-3-031-25386-7Series ISSN 2730-633X Series E-ISSN 2730-6348
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Mathematics Online First Collectionshttp://image.papertrans.cn/m/image/627775.jpg
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https://doi.org/10.1007/978-3-031-25386-7Operator equation; Matrix equation; Split quaternion; Differential equation; Numerical range; Matrix quad
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